Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Pankka, Pekka"'
Autor:
Ikonen, Toni, Pankka, Pekka
We consider the following extension of the classical Liouville theorem: A calibration $\omega \in \Lambda^n \mathbb{R}^m$, where $3 \le n \le m$, has the Liouville property if a Sobolev mapping $F\colon \Omega \to \mathbb{R}^m$, where $\Omega \subset
Externí odkaz:
http://arxiv.org/abs/2410.02722
A novel reconstruction method is introduced for the severely ill-posed inverse problem of limited-angle tomography. It is well known that, depending on the available measurement, angles specify a subset of the wavefront set of the unknown target, whi
Externí odkaz:
http://arxiv.org/abs/2310.16557
Autor:
Heikkilä, Susanna, Pankka, Pekka
We show that, if a closed, connected, and oriented Riemannian $n$-manifold $N$ admits a non-constant quasiregular mapping from the Euclidean $n$-space $\mathbb R^n$, then the de Rham cohomology algebra $H_{\mathrm{dR}}^*(N)$ of $N$ embeds into the ex
Externí odkaz:
http://arxiv.org/abs/2302.11440
How can we design neural networks that allow for stable universal approximation of maps between topologically interesting manifolds? The answer is with a coordinate projection. Neural networks based on topological data analysis (TDA) use tools such a
Externí odkaz:
http://arxiv.org/abs/2210.00577
We consider, for $n\ge 3$, $K$-quasiregular $\operatorname{vol}_N^\times$-curves $M\to N$ of small distortion $K\ge 1$ from oriented Riemannian $n$-manifolds into Riemannian product manifolds $N=N_1\times \cdots \times N_k$, where each $N_i$ is an or
Externí odkaz:
http://arxiv.org/abs/2106.11871
We consider how transformation optics and invisibility cloaking can be used to construct models in subsets $\mathbb{R}^3$ with a varying metric, where the time-harmonic waves for a given angular wavenumber $k$, are equivalent to the waves in some clo
Externí odkaz:
http://arxiv.org/abs/2011.09547
Autor:
Onninen, Jani, Pankka, Pekka
We show that a $K$-quasiregular $\omega$-curve from a Euclidean domain to a Euclidean space with respect to a covector $\omega$ is locally $(1/K)(\lVert \omega\rVert/|\omega|_{\ell_1})$-H\"older continuous. We also show that quasiregular curves enjoy
Externí odkaz:
http://arxiv.org/abs/2006.09340
This article is about hyperelastic deformations of plates (planar domains) which minimize a neohookean type energy. Particularly, we investigate a stored energy functional introduced by J.M. Ball in his seminal paper "Global invertibility of Sobolev
Externí odkaz:
http://arxiv.org/abs/2004.03381
We prove an Ahlfors refection theorem for $p$-reflections over Jordan curves bounding subhyperbolic domains in $\hat {\mathbb C}$.
Comment: 51 Pages, 4 Figures (For the third author, "Ru-Ya" reads "Pekka" for consistency)
Comment: 51 Pages, 4 Figures (For the third author, "Ru-Ya" reads "Pekka" for consistency)
Externí odkaz:
http://arxiv.org/abs/1912.09200
Autor:
Lindquist, Jeff, Pankka, Pekka
We introduce a class of mappings called vertical quasi-isometries and show that branched quasisymmetries $X\to Y$ of Guo and Williams between compact, bounded turning metric doubling spaces admit natural vertically quasi-isometric extensions $\wideha
Externí odkaz:
http://arxiv.org/abs/1911.12680